A NUMERICAL STUDY OF UNIVERSALITY AND SELF-SIMILARITY IN SOME FAMILIES OF FORCED LOGISTIC MAPS

DOI10.1142/S0218127413500727zbMath1270.37029arXiv1112.4143OpenAlexW2020133630MaRDI QIDQ2845201

Pau Rabassa, Joan Carles Tatjer, Àngel Jorba

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4143

zbMATH Keywords

renormalizationperiod doubling bifurcationsreducibility lossquasi-periodically forced maps

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Universality and renormalization of dynamical systems (37E20)

Related Items (2)

Local study of a renormalization operator for 1D maps under quasiperiodic forcing ⋮ Superstable periodic orbits of 1D maps under quasi-periodic forcing and reducibility loss

Cites Work

• Period doubling and reducibility in the quasi-periodically forced logistic map
• SNA's in the quasi-periodic quadratic family
• Strange attractors that are not chaotic
• The birth of strange nonchaotic attractors
• On the vertical families of two-dimensional tori near the triangular points of the bicircular problem
• Doubling of Torus
• Numerical computation of the normal behaviour of invariant curves ofn-dimensional maps
• Reliable Computation of Robust Response Tori on the Verge of Breakdown
• NONAUTONOMOUS SADDLE-NODE BIFURCATIONS IN THE QUASIPERIODICALLY FORCED LOGISTIC MAP
• Quasiperiodically forced interval maps with negative Schwarzian derivative
• On the definition of strange nonchaotic attractor

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